{
  "id": "1001.4582",
  "version": "v3",
  "published": "2010-01-26T02:22:23.000Z",
  "updated": "2010-05-31T06:11:02.000Z",
  "title": "More Colourful Simplices",
  "authors": [
    "Antoine Deza",
    "Tamon Stephen",
    "Feng Xie"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that any point in the convex hull of each of (d+1) sets of (d+1) points in general position in \\R^d is contained in at least (d+1)^2/2 simplices with one vertex from each set. This improves the known lower bounds for all d >= 4.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-05-31T06:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C45",
      "52A35"
    ],
    "keywords": [
      "colourful simplices",
      "convex hull",
      "general position"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.4582D"
    }
  }
}